Najwan Alsadat, "A New Two-Parameter Lifetime Model with Statistical Properties and Applications," WSEAS Transactions on Mathematics, vol. 22, pp. 213-223, 2023, DOI:10.37394/23206.2023.22.26
Najwan Alsadat. A New Two-Parameter Lifetime Model with Statistical Properties and Applications.
WSEAS Transactions on Mathematics. 2023;22:213-223. 10.37394/23206.2023.22.26
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
A New Two-Parameter Lifetime Model with Statistical Properties and Applications
Author:
Abstract: A new lifetime distribution called the truncated Cauchy power length-biased exponential (TCP-LBEX) distribution that extends the length-biased (LBEX) model is investigated. The statistical properties of the TCP-LBEX model including the quantile function, incomplete moment, moment, and entropy are derived. The method of maximum likelihood estimation was used to estimate the parameters of the TCP-LBEX. Monto Carlo simulations are used to assess the behavior of parameters. Finally, we demonstrate applications of two real-world data sets to show the flexibility and potentiality of the proposed model.
Keywords:
Truncated Cauchy power family, Length-biased exponential, moments, Rényi Entropy, Maximum likelihood estimation
Pages: 213-223 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #26 DOI: 10.37394/23206.2023.22.26
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